(i) A steel wire of diameter 4 mm has a breaking strength of 4x10 the breaking strength of a similar steel wire of diameter 2 mm be? A 445,000 N load is placed on top of a steel column 3.05 m long and 10.2 cm in diameter. What is the compression (change in length) of the column if the Young's modulus for the steel is 22 x 1010 N/m22 (ii)
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- Q3: A unit cell of diamond structure belongs to the cubic crystal system and contains eight atoms of the same type and their positions are as follows. (000) Compute the structure factors Fok and |F|2. An internal friction peak caused by interstitial diffusion in a bcc metal has its peak at 50° C at a frequency of 0.70 Hz. When the frequency is changed to 2.81 Hz the peak is shifted to 64° C. (a) Calculate Q for the process. (b) If the lattice parameter is 3.2 x 10 cm, calculate D at 100° C and D..Viscometer is used to measure the viscosity of a series of dilute solutions of a polymer in toluene at 30°C. (1) Intrinsic viscosity is the most useful of the various viscosity designations because it can be related to molecular weight by the Mark-Houwink-Sakurada equation, [n] = KM. Calculate the viscosity average molecular weight for this polymer by using the data given in Table 2. Given that the Mark-Houwink constant, K is 12 x 10-5 dl/g and a = 0.71. 0.505 0.595 0.804 Concentration 0 (g/dL) Flow time (s) 67.94 0.402 107.70 121.05 Table 2 132.77 161.39 1.207 227.84
- The mechanical properties of a metal may be improved by incorporating fine particles of its oxide. Given that the moduli of elasticity of the metal and oxide are, respectively, 50 GPa and 380 GPa, what is the (a) upper-bound, and (b) lower-bound modulus of elasticity values (in GPa) for a composite that has a composition of 0.59 vol% of oxide particles. (a) GPa (b) i GPaThe potential energy between two atoms can be represented as follows: А В + 10 A V = Where A and B are constants and rthe interatomic separation distance. Plot the potential energy verses distance relationships for these atoms when A= 5 x 10-30 J.m and B= 8 x 10-121 J.m10. Determine the coefficient of thermal expansion (in m/m.K) for the material over the following temperature ranges: a) 0°K to 0°C, b) 0°C to 820°C. Assume that thermal energy of the system is 3kT/2 where k is Boltzman's constant k = 1.381 x10-23 J/K. Important: Submit a plot of the potential energy verses distance relationship including any markings necessary to understand how you determined the coefficient of thermal expansion.What is the greatest average speed ?v of blood flow at 37∘C in an artery of radius 2.00 mm if the flow is to remain laminar? Take the density of blood to be 1025 kg/m3, and the viscosity to be 2.084×10−3 Pa·s.
- What is the surface tension of benzene(in micro-Newton/m), if it rises to a height of 1.06299 inch in a capillart tube with a circumference of 1.570796 mm. The density of benzene is 54.477 lb/ft³. With the contact angle to be 0°.How is energy evolved in depositionrelated to those for condensationand freezing?Fe?+ + Ce*= Fe+ +Ce* which is described under normal conditions by the following parameters: E°A = E°re3+2+ = 0.771 (±0.005) V versus NHE; E°8 =Eos+3= 1.44 (± 0.02) V versus NHE; F = 96485.309 (± 0.029) C/mol (or J/ (V mol)). Calculate the AG° value for the Fe2*/Ce** reaction. Report your answer using the correct number of significant figures.
- A poiseuille flow experiment was carried out to measure the viscosity of air at 298 k. the sample was allowed to flow through a 100 cm tube of internal diameter 1mm. The high pressure end was at 865 Torr and the low pressure end was at 760 Torr. The volume was measured at the latter pressure. In 59 seconds a volume of 90.2cm^3 passed through the tube. What is the viscosity (use the unit cp of air at this temperature?Calculate the average collision diameter in cm of methane with the viscosity of 1.09x10-4 poise at 20 °C and 1 atm pressure.(a) The BCC iron has a density of 7882 kg/m³ and the lattice parameter of 0.287 nm when hydrogen atoms are introduced at interstitial positions. Evaluate (i) the atomic fraction of hydrogen atoms (ii) the number of unit cells on average that contain hydrogen atoms (b) The strength values of a tungsten-tantalum alloy and its related properties are shown in the table below: Grain diameter (mm) Strength (MPa) 0.071 140 0.110 134 0.203 129 0.314 126 Determine (i) the constants in the Hall-Petch equation. (ii) the grain size required to obtain strength of 300 MPa.